Cauchy problems of pseudo-parabolic equations with inhomogeneous terms

DOI10.1007/s00033-015-0558-2zbMath1330.35225OpenAlexW1852872935MaRDI QIDQ903232

Zhongping Li, Wanjuan Du

Publication date: 5 January 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0558-2

zbMATH Keywords

critical Fujita exponentpseudo-parabolic equationsecondary critical exponentinhomogeneous term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

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Cites Work

• Periodic boundary value problem for nonlinear Sobolev-type equations
• A periodic problem of a semilinear pseudoparabolic equation
• Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
• Cauchy problems of semilinear pseudo-parabolic equations
• A Lewy-type reflection principle for pseudoparabolic equations
• Existence and non-existence of global solutions for a semilinear heat equation
• Maximum principles for pseudoparabolic partial differential equations
• The behavior of the life span for solutions to \(u_t=\Delta u+a(x) u^p\) in \(\mathbb{R}^d\)
• Life span of solutions of the Cauchy problem for a semilinear heat equation
• Existence and nonexistence of global solutions of quasilinear parabolic equations.
• Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions
• Second critical exponent and life span for pseudo-parabolic equation
• Non existence of global solutions of parabolic equation in conical domains
• The role of critical exponents in blow-up theorems: The sequel
• A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
• On a theory of heat conduction involving two temperature
• Parabolic and pseudo-parabolic partial differential equations
• Solutions of pseudo-heat equations in the whole space
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
• The Role of Critical Exponents in Blowup Theorems
• Stable Patterns in a Viscous Diffusion Equation
• Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
• The Riemann-Hilbert boundary value problem for semilinear pseudoparabolic equations
• The critical exponents of parabolic equations and blow-up inRⁿ
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
• The Cauchy problem for an equation of Sobolev type with power non-linearity
• Pseudoparabolic Partial Differential Equations
• Model equations for long waves in nonlinear dispersive systems
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